Proceedings ArticleDOI
Advances in the Natural transform
Fethi Bin Muhammad Belgacem,Rathinavel Silambarasan +1 more
- Vol. 1493, Iss: 1, pp 106-110
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TLDR
The literature review of the Natural transform and existing definitions and connections to the Laplace and Sumudu transforms are discussed in this article, where the relation of Bessel's function to Natural transform is defined.Abstract:
The literature review of the Natural transform and the existing definitions and connections to the Laplace and Sumudu transforms are discussed in this communication. Along with the complex inverse Natural transform and Heaviside's expansion formula, the relation of Bessel's function to Natural transform (and hence Laplace and Sumudu transforms) are defined.read more
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Journal Article
New Integral Transform: Shehu Transform a Generalization of Sumudu and Laplace Transform for Solving Differential Equations
Shehu Maitama,Weidong Zhao +1 more
TL;DR: In this article, a Laplace-type integral transform called the Shehu transform is proposed for solving differential equations in the time domain. But it is not suitable for the case of time-invariant problems.
Journal ArticleDOI
New integral transform: Shehu transform a generalization of Sumudu and Laplace transform for solving differential equations
Shehu Maitama,Weidong Zhao +1 more
TL;DR: In this article, a Laplace-type integral transform called the Shehu transform is proposed for solving differential equations in the time domain. But it is not suitable for the case of time-invariant problems.
Journal ArticleDOI
Solving nonlinear ordinary differential equations using the ndm
TL;DR: In this article, the Natural Decomposition Method (NDM) is used to obtain exact solutions for three different types of nonlinear ordinary differential equations (NLODEs) based on the Natural transform method (NTM) and the Adomian decomposition method (ADM).
Journal ArticleDOI
Analytical Solutions of Fractional-Order Heat and Wave Equations by the Natural Transform Decomposition Method
TL;DR: The natural transform decomposition method procedure has shown that less volume of calculations and a high rate of convergence can be easily applied to other nonlinear problems, particularly fractional-order heat and wave equation.
Journal ArticleDOI
A new integral transform and its applications
TL;DR: In this paper, the authors introduce a new integral transform which yields a number of potentially useful (known or new) integral transfoms as its special cases, including existence theorem, Parseval-type relationship and inversion formula.
References
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N-Transform - Properties and Applications
TL;DR: In this paper, a new integral transform similar to Laplace and Sumudu transforms is introduced, which converges to both transforms just by changing variables, and an example of unsteady fluid flow over a plane wall is presented.
Journal Article
Theory of Natural Transform
TL;DR: In this paper, the Natural transform is derived from the Fourier Integral and it converges to Laplace and Sumudu transform, it is shown it to the theoretical dual of Laplace, and it is proved Natural-multiple shift theorems, Bromwich contour integral and Heviside's Expansion formula for Inverse Natural transform.
Journal Article
Maxwell's equations solutions by means of the natural transform
TL;DR: In this paper, the Natural transform is applied to Maxwell's Equations describing transient electromagnetic planar waves propagating in lossy medium (TEMP), in order to obtain its electric and magnetic fields solutions.
Applications of the Natural Transform to Maxwell's Equations
TL;DR: In this article, the Sumudu transform was used to derive the transient electric and magnetic field solutions of Maxwell's equation describing TEMP waves traveling in conducting but lossy media.
The Generalized n-th Order Maxwell's Equations
TL;DR: In this article, the existing Maxwell's set of equations describing TEMP waves propagating in conducting ae > 0 lossy medium is extended to the n-th order and solved using the Natural transform.